Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters

Abstract Brains demonstrate varying spatial scales of nested hierarchical clustering. Identifying the brain’s neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks capable of building...

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Autores principales: Anar Amgalan, Patrick Taylor, Lilianne R. Mujica-Parodi, Hava T. Siegelmann
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/4437a08b9cd74b978b311f5678a4bb4a
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spelling oai:doaj.org-article:4437a08b9cd74b978b311f5678a4bb4a2021-12-02T15:54:06ZUnique scales preserve self-similar integrate-and-fire functionality of neuronal clusters10.1038/s41598-021-82461-42045-2322https://doaj.org/article/4437a08b9cd74b978b311f5678a4bb4a2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-82461-4https://doaj.org/toc/2045-2322Abstract Brains demonstrate varying spatial scales of nested hierarchical clustering. Identifying the brain’s neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks capable of building intelligent computation. Experiments support various forms and sizes of neural clustering, from handfuls of dendrites to thousands of neurons, and hint at their behavior. Here, we use computational simulations with a brain-derived fMRI network to show that not only do brain networks remain structurally self-similar across scales but also neuron-like signal integration functionality (“integrate and fire”) is preserved at particular clustering scales. As such, we propose a coarse-graining of neuronal networks to ensemble-nodes, with multiple spikes making up its ensemble-spike and time re-scaling factor defining its ensemble-time step. This fractal-like spatiotemporal property, observed in both structure and function, permits strategic choice in bridging across experimental scales for computational modeling while also suggesting regulatory constraints on developmental and evolutionary “growth spurts” in brain size, as per punctuated equilibrium theories in evolutionary biology.Anar AmgalanPatrick TaylorLilianne R. Mujica-ParodiHava T. SiegelmannNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Anar Amgalan
Patrick Taylor
Lilianne R. Mujica-Parodi
Hava T. Siegelmann
Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
description Abstract Brains demonstrate varying spatial scales of nested hierarchical clustering. Identifying the brain’s neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks capable of building intelligent computation. Experiments support various forms and sizes of neural clustering, from handfuls of dendrites to thousands of neurons, and hint at their behavior. Here, we use computational simulations with a brain-derived fMRI network to show that not only do brain networks remain structurally self-similar across scales but also neuron-like signal integration functionality (“integrate and fire”) is preserved at particular clustering scales. As such, we propose a coarse-graining of neuronal networks to ensemble-nodes, with multiple spikes making up its ensemble-spike and time re-scaling factor defining its ensemble-time step. This fractal-like spatiotemporal property, observed in both structure and function, permits strategic choice in bridging across experimental scales for computational modeling while also suggesting regulatory constraints on developmental and evolutionary “growth spurts” in brain size, as per punctuated equilibrium theories in evolutionary biology.
format article
author Anar Amgalan
Patrick Taylor
Lilianne R. Mujica-Parodi
Hava T. Siegelmann
author_facet Anar Amgalan
Patrick Taylor
Lilianne R. Mujica-Parodi
Hava T. Siegelmann
author_sort Anar Amgalan
title Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
title_short Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
title_full Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
title_fullStr Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
title_full_unstemmed Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
title_sort unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/4437a08b9cd74b978b311f5678a4bb4a
work_keys_str_mv AT anaramgalan uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters
AT patricktaylor uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters
AT liliannermujicaparodi uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters
AT havatsiegelmann uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters
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